Submission #1143547

#TimeUsernameProblemLanguageResultExecution timeMemory
1143547poltanosRobot (JOI21_ho_t4)C++20
0 / 100
348 ms52152 KiB
#include <bits/stdc++.h>
using namespace std;
#define int long long

const int inf = 1e18;

void solve() {
    int n, m;
    cin >> n >> m;

    vector<tuple<int, int, int, int>> edges(m);
    vector<map<int, vector<int>>> color_map(n); // node -> {color: [edge indices]}

    for (int i = 0; i < m; ++i) {
        int x, y, col, wt;
        cin >> x >> y >> col >> wt;
        x--; y--;
        edges[i] = {x, y, col, wt};
        color_map[x][col].push_back(i);
        color_map[y][col].push_back(i);
    }

    vector<vector<pair<int, int>>> adj(n); // {adj_node, cost}

    for (int i = 0; i < m; ++i) {
        auto [x, y, col, wt] = edges[i];
        // Process x -> y
        int sum_other = 0;
        for (int idx : color_map[x][col]) {
            if (idx != i) {
                sum_other += get<3>(edges[idx]);
            }
        }
        int cost_x = min(wt, sum_other);
        adj[x].emplace_back(y, cost_x);

        // Process y -> x
        int sum_other_rev = 0;
        for (int idx : color_map[y][col]) {
            if (idx != i) {
                sum_other_rev += get<3>(edges[idx]);
            }
        }
        int cost_y = min(wt, sum_other_rev);
        adj[y].emplace_back(x, cost_y);
    }

    vector<int> dist(n, inf);
    dist[0] = 0;
    priority_queue<pair<int, int>, vector<pair<int, int>>, greater<pair<int, int>>> pq;
    pq.emplace(0, 0);

    while (!pq.empty()) {
        auto [d, u] = pq.top();
        pq.pop();

        if (d > dist[u]) continue;

        for (auto [v, wt] : adj[u]) {
            if (dist[v] > dist[u] + wt) {
                dist[v] = dist[u] + wt;
                pq.emplace(dist[v], v);
            }
        }
    }

    if (dist[n-1] == inf) cout << -1 << endl;
    else cout << dist[n-1] << endl;
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);

    solve();
    return 0;
}
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